document.write( "Question 696756: \r
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\n" ); document.write( "\n" ); document.write( "Divide 41 into two positive parts such that difference of their squares is 369.
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Algebra.Com's Answer #429288 by checkley79(3341)\"\" \"About 
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LET X & (41-X) BE THE 2 POSITIVE PARTS.
\n" ); document.write( "X^2-(41-X)^2=369
\n" ); document.write( "X^2-1681+82X-X^2=369
\n" ); document.write( "82X=369+1681
\n" ); document.write( "82X=2050
\n" ); document.write( "X=2050/82
\n" ); document.write( "X=25 ANS. FOR THE LARGER PART.
\n" ); document.write( "41-25=16 ANS. FOR THE SMALLER PART.
\n" ); document.write( "PROOF:
\n" ); document.write( "25^2-16^2=369
\n" ); document.write( "625-256=369
\n" ); document.write( "369=369
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